1. Base presents the whole number
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Researchers conduct a study to evaluate the level of pollution present in a river. They selected several locations along the river and then take a sample of water from each location.
What is the population under study?
A. The water in the river
B. River water in the county where researchers are working
C. Water in a lake fed by the river
D. The water collected by researchers
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
A large tank is filled to capacity with 700 gallons of pure water. Brine containing 4 pounds of salt per gallon is pumped into the tank at a rate of 7 gal/min. The well-mixed solution is pumped out at a rate of 14 gallons/min. Find the number A(t) of pounds of salt in the tank at time t.
Answer:
[tex]A(t) = 1400(1 - e^{\frac{-t}{50}})[/tex]
Step-by-step explanation:
The net mass flow rate dA/dt = mass flow rate in - mass flow rate out
mass flow rate in = concentration of brine in × brine flow rate in = 4 lb/gal × 7 gal/min = 28 lb/min
Let A(t) be the amount of salt at time t. The concentration of salt in the tank at time, thus C = amount of salt/volume of tank = A(t)/700 lb/gal.
Since the well mixed solution is pumped out at a rate of 14 gal/min, the mass flow rate out = concentration of salt in tank × volume flow rate out = A(t)/700 lb/gal × 14 gal/min = m(t)/50 lb/min
So, dA/dt = mass flow rate in - mass flow rate out
dA/dt = 28 lb/min - A(t)/50 lb/min
dA/dt = 28 - A(t)/50
dA/dt = [1400 - A(t)]/50
separating the variables, we have
dA/[1400 - A(t)] = dt/50
integrating both sides, we have
∫dA/[1400 - A(t)] = ∫dt/50
-1/-1 × ∫dA/[1400 - A(t)] = ∫dt/50
1/-1 × ∫-dA/[1400 - A(t)] = ∫dt/50
-1 × ㏑[1400 - A(t)] = t/50 + C
-㏑[1400 - A(t)] = t/50 + C
㏑[1400 - A(t)] = -t/50 - C
taking exponents of both sides, we have
[tex]1400 - A(t) = e^{\frac{-t}{50} - C} \\1400 - A(t) = e^{\frac{-t}{50}}e^{-C}\\1400 - A(t) = Be^{\frac{-t}{50}} ( B = e^{-C}) \\A(t) = 1400 - Be^{\frac{-t}{50}}[/tex]
when t = 0, A(0) = 0. So,
[tex]A(t) = 1400 - Be^{\frac{-t}{50}}\\A(0) = 1400 - Be^{\frac{-0}{50}}\\0 = 1400 - Be^{0}\\0 = 1400 - B\\B = 1400[/tex]
So,
[tex]A(t) = 1400 - 1400e^{\frac{-t}{50}}\\A(t) = 1400(1 - e^{\frac{-t}{50}})[/tex]
How many sides do 2 octagons, 4 pentagons, and 5 triangles have in all?
Answer: 51
Step-by-step explanation:
2 octagons have 16 sides because an octagon has eight sides. So, 8x2=16.
4 pentagons have 20 sides because a pentagon has 5 sides. So, 4x5=20.
5 triangles have 15 sides because a triangle has 3 sides. So, 5x3=15.
In all, 16+20+15= 51
The diameter is 24 cm. Find the
length of arc CD
Answer:
s = 4π Exact answer
s = 12.56 Decimal approximation
Step-by-step explanation:
cicrumference = πd
s = (∅/360)(πd)
s = (60/360)(π * 24)
s = 4π Exact answer
s = 4 * 3.14
s = 12.56 Decimal approximation
-Continued answer to my last question
Answer:
It's the first graph.
Step-by-step explanation:
The data points resemble the data in the table more than the second.
2 tables 8 chairs. 1 5/8 quarts paint for 2 tables and 2/3 quarts paint for 8 chairs. How many total quarts paint should you bring for this furniture
Answer:
2 7/24
Step-by-step explanation:
1 5/8 + 2/3
1 15/24 + 16/24
1 31/24 = 2 7/24
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PLEASE HELP!! Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the trigonometric ratios with their values based on the triangle shown in the diagram
this is the answer on edmentum
The matching will be given below.
12/25 = sin D × cos D3/5 = sin D16/15 = cos C × tan D4/5 = sin CWhat is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The value of sin C will be
sin C = 3 / 5
The value of sin D will be
sin D = 4 / 5
The value of cos C will be
cos C = 4 / 5
The value of cos D will be
cos D = 3 / 5
The value of tan C will be
tan C = 3 / 4
The value of tan D will be
tan D = 4 / 3
The product of sin D and cos D will be
sin D × cos D = (4 / 5) × (3 / 5)
sin D × cos D = 12 / 25
The product of tan C and tan D will be
tan C × tan D = (3 / 4) × (4 / 3)
tan C × tan D = 1
The product of cos C and tan D will be
cos C × tan D = (4 / 5) × (4 / 3)
cos C × tan D = 16 / 15
Then the matching will be given below.
12/25 = sin D × cos D3/5 = sin D16/15 = cos C × tan D4/5 = sin CMore about the right-angle triangle link is given below.
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The equation below represents the trend line of a scatter plot showing the hours spent studying versus science test scores. y = 6.5 x + 42.4
The equation below represents the trend line of a scatter plot showing the hours spent studying versus math test scores. y = 7.2 x + 34.7
If a student does not study for either test, on which test should the student expect the higher score?
A) on the science test because the rate of change is greater
B) on the math test because the rate of change is greater
C) on the science test because the y-intercept is greater
D) on the math test because the y-intercept is greater
Answer: C: on the science test because the y-intercept is greater
Step-by-step explanation: I got the question right on edge.
Answer:
C
Step-by-step explanation:
Type the correct answer in each box.
Consider the table modeling function f.
-2
-1
0
1
2
-28
-9
-2
-1
0
Complete the table modeling the inverse of function f.
-1
0
4–1()
-2
0
The screenshot is the correct answers
The table modeling the inverse of function f is,
[tex]x[/tex] [tex]f^{-1}(x)[/tex]
-28 -2
-9 -1
-2 0
-1 1
0 2
What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is inverse function?"A function g is the inverse of a function f if whenever y = f(x) then x = g(y)"
For given question,
We have been given a table modeling function f.
x f(x)
-2 -28
-1 -9
0 -2
1 -1
2 0
We need to complete the table modeling the inverse of function f.
We know that the inverse of function y = f(x) is [tex]x=f^{-1}(y)[/tex]
For given function f(x), we find inverse of f(x)
[tex]x[/tex] [tex]f^{-1}(x)[/tex]
-28 -2
-9 -1
-2 0
-1 1
0 2
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Plz help 27 pt this is getting graded plz plz Plz
Answer:
517.2
Step-by-step explanation:
It has sides you're not seeing so don't forget those.
You need to find the area of the front, back, two sides, and bottom
Front & back:
6*5.2* 1/2
31.2/2 = 15.6 for each
Sides:
27*6 = 162 each
Bottom:
6*27 = 162
162+162+162+15.6+15.6= final answer
Answer: B
Step-by-step explanation:
First, you do 5.2 times 6 divided by two which is 15.6. Now you do 15.6 times two since there are two triangles and get 31.2. Now you do 27 times 6 times two and get 324 + 31.2 = 355.2. Lastly, you do 27 times 6 to get 162. 162+355.2 = 517.2
HELP!! 10 MIN REMAINING.
How can scientists use a seismograph to determine the density and depth of earths layers.
Answer:
Scientists can tell by observing the seismic waves that are recorded all over the surface of the earth from distant earthquakes. The seismic waves are reflected (bounced off) layers of different density, and they are refracted (bent) when they enter layers of different density.
Answer:
here now you can give her brainliest
Step-by-step explanation:
A swimming pool is open for 7 1/2hours during a day. The pool keeps one lifeguard on
duty at a time, and each lifeguard's shift is 2 1/2hours long. How many shifts are there
per day?
7 shifts
5 shifts
3 shifts
4 shifts
Answer:
3 shifts a day
Step-by-step explanation:
7 1/2 hours = 7.5 2 1/2 hours = 2.5
7.5 divided by 2.5 = 3
Answer:
3 shift
Step-by-step explanation:
7 1/2 / 2 1/2
(15/2) / (5/2)
keep, change, flip
(15/2) x (2/5)
30/10 = 3 shifts
the graph of a function is shown below
Answer:
B. In Section P, the function is linear and increasing.
Step-by-step explanation:
Answer:
B. In Section P, the function is linear and increasing.
PLS HELP!! need the answer asap
Answer:
8
Step-by-step explanation:
[tex]\angle RPS = 3x + 12,\ \angle QPR = 7x + 88\ =>\ \angle QPS = 3x + 12 + 7x + 88 = 180[/tex]
[tex]3x + 12 + 7x + 88 = 180[/tex]
[tex]10x + 100 = 180[/tex]
[tex]10x = 80[/tex]
[tex]x = 8[/tex]
Part 3a. NO LINKS. Find the measure of the arc or angle indicated.
9514 1404 393
Answer:
99°
Step-by-step explanation:
Arc YZ is twice the measure of angle X, so is 136°. The sum of the arcs of a circle is 360°, so the unknown arc is ...
360° -136° -125° = 99° . . . . measure of arc XZ
Answer:
Solution given:
<x=68°
arc XY=125°
arc XZ=?
we have
<X+<W=180°[sum of opposite angle of a cyclic quadrilateral is supplementary]
<W=180°-68°=112°
Now
arc YZ=2×112°=224°[central angle is equal to the twice of its inscribed angle]
arc YZ=224°
arc XY +arc YZ=224°
125°+arc YZ=224°
arc YZ=224°-125°
arc YZ=99°
the measure of the arc or angle indicated is 99°.
Find the height of a rectangular pyramid with a length of 15.8 meters, a width of 9.2 meters, and a volume of 1235.56 cubic meters
Find the measure of the exterior angle.
Answer:
u = 143º
Step-by-step explanation:
Sum of angles in a triangle is 180
The unknown angle IN the triangle
x + 90 + 53 = 180
x + 143 = 180
x = 37º
x and u are supplementary angle which total 180
u + 37 = 180
u = 143º
given: <1 congruent to <2
prove: AB is congruent to CB
Answer:
Because 3 and 2 are vertical angles
Step-by-step explanation:
Vertical angles are always equal or congruent
What is remainder one as a fraction?
Answer:
We have a remainder of 1, which we want to write as a fraction. We divide the 1 by 3. The fraction is 1 / 3 .
Step-by-step explanation:
Answer:
We have a remainder of 1, which we want to write as a fraction. We divide the 1 by 3. The fraction is 1 / 3 .
Step-by-step explanation:
The area of a rectangle is 77ft, and the length of the rectangle is 3 more than twice the width. Find the dimensions of the rectangle.
Answer:
W = 11/2, L = 14 sq ft
Step-by-step explanation:
Area = 77ft
L = length, W = width
L = 3 + 2W
L * W = 77
Plug W in to find the L
Jessica is getting ready for college she needs to have an
overall grade of 85 in her Math class to qualify for the college that
she wished to attend. Her math grade is based solely on her
scores on 6 exams. On the first 5 exams her scores were 87, 81,
85, 90, 78. Write an inequality that represents her predicament.
What does score does she need to get on her last test to qualify?
Answer:
Step-by-step explanation:
ask cymath it will help you with any mathmatical problem
what does proportion mean in algebra when dealing with graphs
The window has the shape of a kite. How many square meters of glass were used to make the window?
Answer:
1568cm²
Step-by-step explanation:
28cm + 28cm = 56cm
35cm + 21cm = 56cm
56 × 56 = 3136cm²
3136cm² ÷ 2 = 1568cm²
There were 35 children and 10 adults at a cookout. What is the ratio of adults to children at the cookout?
Answer:
2:7
Step-by-step explanation:
10:35 can also be written as 2:7
Thenks and mark me brainliest :))
Wavelength and Frequency
A chord consists of notes that sound good together. the C major chord, starting at middle C, has the following frequencies:
C - 262 Hz
E - 330 Hz
G - 392 Hz
Determine the ratio of the frequency of G to C. Express the answer in a simple integer ratio. (Due to rounding the ratio will be approximate. )
a. 5 to 4
b. 3 to 2
c. 6 to 5
d. 9 to 8
Please select the best answer from choices provided
Answer:
B. 3 to 2
Step-by-step explanation:
I calculated it logically
The ratio of the frequency of G to C is 1.5. So, option b is correct.
What is meant by frequency ?Frequency of a wave is defined as the number of oscillations completed by the wave in one second.
Here,
The frequency of note G, f(G) = 392 Hz
The frequency of note C, f(C) = 262 Hz
The ratio of the frequency of G to C, r = frequency of G/frequency of C
r = f(G)/f(C)
r = 392/262
r = 1.496 approximately r = 1.5
Hence,
The ratio of the frequency of G to C is 1.5
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HELP ME PLWASE I WILL GIVE ALL POINTS.
What value of x makes this equation true?
0.6x + 7 = 0.1x -8
Answer:
-30
Step-by-step explanation:
0.6x+7=0.1x-8
0.6x-0.1x=-8-7
0.5x=-15
x=-15/0.5
x=-30
Which of the following operations could you perform on both sides of the
given equation to solve it? Check all that apply.
9x+ 5 = 5x + 21
O A. subtract 16
B. divide by 9
O C. divide by 4
D. subtract 5
O
E. divide by 3
F. subtract 5x
No
Answer:
C, D and F
Step-by-step explanation:
Procedure:
9x+5=5x+21
4x+5=21 (subtract 5x)
4x=16 (subtract 5)
x=4 (divided by 4)
The length of a rectangle is 5 cm longer than its width.
If the perimeter of the rectangle is 42 cm, find its area.
Answer:
The area is 104
Step-by-step explanation:
Length: 5 + x
width: x
(5+x)*2=10+2x
x*2=2x
2x+10+2x=42
10+4x=42
-10 -10
4x=32
/4. /4
x=32
5+8=13
13*8=104
Write the quadratic equation in standard form:
8x2=8x + 13 + 4x2
What is the name for the total area of the surface of a solid?prism area net area surface area facial area
Answer:
Surface Area
Step-by-step explanation:
You are calculating the measurements for the surface of the prism. The interior is volume.
Answer:
Surface Area
Step-by-step explanation: